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Finding the Third Proportional to 176.31 and 386.44

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Solution

The third proportional to 176.31 and 386.44 is: 846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 386.44 = 386.44 : x
  2. Step 2: Convert to fraction form
    176.31/386.44 = 386.44/x
  3. Step 3: Cross multiply
    176.31x = 386.44 × 386.44
  4. Step 4: Simplify right side
    176.31x = 149,333.94
  5. Step 5: Solve for x
    x = 149,333.94/176.31
  6. Step 6: Final answer
    x = 846.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.